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2032990560 = 253251783047
BaseRepresentation
bin111100100101100…
…1111100101100000
312020200102121202200
41321023033211200
513130421144220
6533422013200
7101244064116
oct17113174540
95220377680
102032990560
1195362a997
12488a17200
132652585c3
14154005ab6
15bd72c890
hex792cf960

2032990560 has 144 divisors (see below), whose sum is σ = 7345761696. Its totient is φ = 510234624.

The previous prime is 2032990529. The next prime is 2032990573. The reversal of 2032990560 is 650992302.

2032990560 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 9 + 90 + 560 = 666.

2032990560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×20329905602 = 8266101234098227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17044 + ... + 66003.

It is an arithmetic number, because the mean of its divisors is an integer number (51012234).

Almost surely, 22032990560 is an apocalyptic number.

2032990560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672880848).

2032990560 is an abundant number, since it is smaller than the sum of its proper divisors (5312771136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2032990560 is a wasteful number, since it uses less digits than its factorization.

2032990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83085 (or 83074 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2032990560 is about 45088.6965879476. The cubic root of 2032990560 is about 1266.8108878568.

It can be divided in two parts, 20329 and 90560, that added together give a square (110889 = 3332).

The spelling of 2032990560 in words is "two billion, thirty-two million, nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 83047 166094 249141 332188 415235 498282 664376 747423 830470 996564 1245705 1328752 1411799 1494846 1660940 1993128 2491410 2657504 2823598 2989692 3321880 3737115 3986256 4235397 4982820 5647196 5979384 6643760 7058995 7474230 7972512 8470794 9965640 11294392 11958768 12706191 13287520 14117990 14948460 16941588 19931280 21176985 22588784 23917536 25412382 28235980 29896920 33883176 39862560 42353970 45177568 50824764 56471960 59793840 63530955 67766352 84707940 101649528 112943920 119587680 127061910 135532704 169415880 203299056 225887840 254123820 338831760 406598112 508247640 677663520 1016495280 2032990560